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Abstract: Let F be a function field of characteristic p > 2 over a finite field Cp . Then for any finite set of F -primes S and any # > 0, there exists a set of F -primes W of density greater than 1 - # such that S # W and OF,S has a Diophantine definition over OF,W . (Here OF,W = {x # F |ord p x # 0, #p ## W} and OF,S is defined analogously.) 1 (Update)
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BibTeX entry: (Update)
@misc{ shlapentokh-defining,
author = "Alexandra Shlapentokh",
title = "Defining Integrality at Prime Sets of High Density over Function Fields",
url = "citeseer.ist.psu.edu/shlapentokh01defining.html" }
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4 Speculation about the topology of rational points: An up-dat.. (context) - Mazur - 1995
4 Diophantine definability over some rings of algebraic number.. (context) - Shlapentokh - 1997
4 Diophantine relations between algebraic number fields (context) - Shapiro, Shlapentokh - 1989
4 Defining integrality at prime sets of high density in number.. (context) - Shlapentokh - 2000
4 Hilbert's tenth problem for algebraic function fields over i.. (context) - Shlapentokh - 2000
3 The diophantine problem for polynomial rings and fields of r.. (context) - Denef - 1978
2 The existential theory of real hyperelliptic fields (context) - Zahidi
2 Diophantine undecidability of algebraic function fields over.. (context) - Shlapentokh - 1996
2 Topology of diophantine sets: Remarks on Mazur's conjectures (context) - Cornelissen, Zahidi - 2000
2 Open problems regarding rational points on curves and variet.. (context) - Mazur - 1998
2 Diophantine unsolvability for function fields over certain i.. (context) - Kim, Roush - 1992
2 Diophantine unsolvability over p-adic function fields (context) - Kim, Roush - 1995
2 Diophantine undecidability in some rings of algebraic number.. (context) - Shlapentokh - 1994
1 Diophantine definability over holomorphy rings of algebraic .. (context) - Shlapentokh - 1998
1 Diophantine undecidability of function fields of characteris.. - Shlapentokh
1 American Mathematical Society (context) - Koch, Algebraic et al. - 2000
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